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240238199881 = 3129721632
BaseRepresentation
bin1101111110111101010…
…0000000010001001001
3211222002121120000210201
43133233110000101021
512414001434344011
6302210334212201
723233220002051
oct3375724002111
9758077500721
10240238199881
1192980223349
123a687354061
13198678420c4
14b8b0176561
1563b0d0dcc1
hex37ef500449

240238199881 has 27 divisors (see below), whose sum is σ = 252371576583. Its totient is φ = 228680184960.

The previous prime is 240238199837. The next prime is 240238199899. The reversal of 240238199881 is 188991832042.

The square root of 240238199881 is 490141.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 107876118025 + 132362081856 = 328445^2 + 363816^2 .

It is not a de Polignac number, because 240238199881 - 211 = 240238197833 is a prime.

It is a super-2 number, since 2×2402381998812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240238199081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1473853906 + ... + 1473854068.

It is an arithmetic number, because the mean of its divisors is an integer number (9347095429).

Almost surely, 2240238199881 is an apocalyptic number.

240238199881 is the 490141-st square number.

240238199881 is the 245071-st centered octagonal number.

It is an amenable number.

240238199881 is a deficient number, since it is larger than the sum of its proper divisors (12133376702).

240238199881 is an frugal number, since it uses more digits than its factorization.

240238199881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 240238199881 in words is "two hundred forty billion, two hundred thirty-eight million, one hundred ninety-nine thousand, eight hundred eighty-one".

Divisors: 1 31 97 163 961 3007 5053 9409 15811 26569 93217 156643 291679 490141 823639 1533667 2577193 9042049 15194371 25532809 47543677 79892983 249987721 1473853987 2476682473 7749619351 240238199881